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Portfolio Choice and Benchmarking: The Case of the Unemployment Insurance Fund in Chile

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  • Castaneda, Pablo

Abstract

A new Unemployment Insurance System based on individual accounts was launched in Chile on October 2002. One of the most interesting features of the system is given by the compensation scheme of the fund manager, which contains a performance based incentive benchmarked to one of the default portfolios of the pension system (pension funds Type E, with a 100% investment in fixed-income securities). This paper studies the portfolio choice problem of a fund manager which is subject to a similar performance-based compensation scheme. We model the portfolio choice problem of a risk averse portfolio manager that must finance an exogenous sequence of benefits, and whose terminal payoff depends upon the terminal value of the portfolio under management, relative to an exogenous benchmark portfolio. Our interest is on the consequences of the incentive scheme over the portfolio that is selected by the portfolio manager. For the Black and Scholes [1973] economy we are able to determine the investment policy in closed form. We show that the riskiness of the portfolio depends on the composition of the benchmark, and that the fund manager is motivated to imitate the investment policy of the benchmark in some random scenarios.

Suggested Citation

  • Castaneda, Pablo, 2005. "Portfolio Choice and Benchmarking: The Case of the Unemployment Insurance Fund in Chile," MPRA Paper 3346, University Library of Munich, Germany, revised 30 Dec 2006.
  • Handle: RePEc:pra:mprapa:3346
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    References listed on IDEAS

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    1. Jennifer N. Carpenter, 2000. "Does Option Compensation Increase Managerial Risk Appetite?," Journal of Finance, American Finance Association, vol. 55(5), pages 2311-2331, October.
    2. Jérôme B. Detemple & Ren Garcia & Marcel Rindisbacher, 2003. "A Monte Carlo Method for Optimal Portfolios," Journal of Finance, American Finance Association, vol. 58(1), pages 401-446, February.
    3. William N. Goetzmann & Jonathan E. Ingersoll & Stephen A. Ross, 2003. "High‐Water Marks and Hedge Fund Management Contracts," Journal of Finance, American Finance Association, vol. 58(4), pages 1685-1718, August.
    4. Jennifer Carpenter, 1999. "Does Option Compensation Increase Managerial Risk Appetite?," New York University, Leonard N. Stern School Finance Department Working Paper Seires 99-076, New York University, Leonard N. Stern School of Business-.
    5. Merton, Robert C., 1971. "Optimum consumption and portfolio rules in a continuous-time model," Journal of Economic Theory, Elsevier, vol. 3(4), pages 373-413, December.
    6. William N. Goetzmann & Jonathan Ingersoll, Jr. & Stephen A. Ross, 1998. "High Water Marks," NBER Working Papers 6413, National Bureau of Economic Research, Inc.
    7. Basak, Suleyman & Pavlova, Anna & Shapiro, Alex, 2003. "Offsetting the Incentives: Risk Shifting and Benefits of Benchmarking in Money Management," Working papers 4303-03, Massachusetts Institute of Technology (MIT), Sloan School of Management.
    8. Cox, John C. & Huang, Chi-fu, 1991. "A variational problem arising in financial economics," Journal of Mathematical Economics, Elsevier, vol. 20(5), pages 465-487.
    9. repec:bla:jfinan:v:59:y:2004:i:1:p:207-225 is not listed on IDEAS
    10. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-654, May-June.
    11. Merton, Robert C, 1969. "Lifetime Portfolio Selection under Uncertainty: The Continuous-Time Case," The Review of Economics and Statistics, MIT Press, vol. 51(3), pages 247-257, August.
    12. Cox, John C. & Huang, Chi-fu, 1989. "Optimal consumption and portfolio policies when asset prices follow a diffusion process," Journal of Economic Theory, Elsevier, vol. 49(1), pages 33-83, October.
    13. Detemple, Jerome B., 2002. "Asset pricing in an intertemporal partially-revealing rational expectations equilibrium," Journal of Mathematical Economics, Elsevier, vol. 38(1-2), pages 219-248, September.
    14. Detemple, Jérôme & Garcia, René & Rindisbacher, Marcel, 2005. "Intertemporal asset allocation: A comparison of methods," Journal of Banking & Finance, Elsevier, vol. 29(11), pages 2821-2848, November.
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    More about this item

    Keywords

    Benchmark portfolio; Individual accounts; Portfolio choice; Unemployment Insurance;
    All these keywords.

    JEL classification:

    • H55 - Public Economics - - National Government Expenditures and Related Policies - - - Social Security and Public Pensions
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • G18 - Financial Economics - - General Financial Markets - - - Government Policy and Regulation
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions

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